A set of geometric pieces is used to solve problems involving geometry, combinations, division, and money. (JT)

The focus is on the problem-solving strategy of find a pattern, with a problem explored to illustrate how to use the strategy. Other tips concern classroom climate, checking skills, research, and type of problems. (MNS)

The technique of organizing data in tables to solve counting problems in geometry is illustrated in the solution of five problems. (MN)

Activity sheets posing problems in which students must examine and test various possibilities are presented. (SD)

Multibase arithmetic blocks are used to investigate the minimum number of blocks of each size to make a square of a given size in a given base. Generalizations are made to any size and any base through pattern recognition. The problem is extended to rectangles, cubes, and rectangular solids. (LS)

A variety of calculator activities is described for developing problem solving skills without getting involved in tedious computations. (JT)

Track cards are manipulative materials used to promote verbalization, spatial perception, eye-hand coordination, simple problem solving, and fun in doing mathematics. (JT)

A series of activities involving figurate numbers that allow students at various levels to integrate numerical, geometric, arithmetic, patterning, measuring, and problem-solving skills are presented. A discussion of the geometric and numerical aspects of figurate numbers is included. Appended are IBM Logo procedures that will create pentagonal…

Provided are follow-up activities for having students explore the concept of line symmetry. Using a mirror to move a pattern; finding patterns with one, two, or four lines of symmetry; finding asymmetrical patterns; deciding if patterns are different; and solving the problem of finding all patterns possible are discussed. (MNS)

The problem-solving skills of logical thinking, critical thinking, visualization, and communication skills are linked with some activities for students. Sample activities with logic, strategies and patterns, breaking fixed notions, open-minded problems, spatial visualization, and communication are described. (MNS)

The problem-solving strategy "look for a pattern" is explored. The staircase problem and the region problem are discussed in detail, with varying solution procedures, and three other problem activities are outlined. (MNS)